The most distant quasar is "JO313-1806". Its redshift is z = 7.64. [ z = (femitted - fobserved)/ fobserved] Assume that the redshift is due to relative motion. Then how fast is the quasar moving away from Earth? (speed as the fraction of c = ) .704
Stellar evolution
We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.
Red Shift
It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.
![**The Most Distant Quasar: J0313-1806**
1. **Redshift Details**
- The quasar "J0313-1806" has a redshift of \( z = 7.64 \).
- Redshift formula:
\[
z \equiv \frac{(f_{\text{emitted}} - f_{\text{observed}})}{f_{\text{observed}}}
\]
- Question: Assuming the redshift is due to relative motion, how fast is the quasar moving away from Earth?
- **Speed as a fraction of \( c \) (speed of light):** \( \frac{7.64}{\square} \)
2. **Hubble's Law and Distance Calculation**
- Hubble's Law states that the distance \( r \) depends on the speed of recession \( v \):
\[
v = H_0 r
\]
- Hubble constant \( H_0 \approx \frac{20 \text{ km/s}}{\text{Mly}} \).
- Question: How many years are required for light to travel from the quasar to Earth?
- **Years =** \( \square \)
Please fill in the boxes with the appropriate calculations to solve the questions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F007d2f28-0b15-4cef-98f8-cbb273656312%2Fc977f910-58d2-457d-b10e-09b11275a187%2Fck4zkee_processed.jpeg&w=3840&q=75)
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